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223013113133 is a prime number
BaseRepresentation
bin1100111110110010011…
…1100000110100101101
3210022122011111221220212
43033230213200310231
512123212324110013
6250241212552205
722053321120206
oct3175447406455
9708564457825
10223013113133
11866410a7768
123727a782665
131805101cb95
14ab186245ad
155c039c46a8
hex33ec9e0d2d

223013113133 has 2 divisors, whose sum is σ = 223013113134. Its totient is φ = 223013113132.

The previous prime is 223013113117. The next prime is 223013113159. The reversal of 223013113133 is 331311310322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 146396533924 + 76616579209 = 382618^2 + 276797^2 .

It is a cyclic number.

It is not a de Polignac number, because 223013113133 - 24 = 223013113117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 223013113099 and 223013113108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223013113333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111506556566 + 111506556567.

It is an arithmetic number, because the mean of its divisors is an integer number (111506556567).

Almost surely, 2223013113133 is an apocalyptic number.

It is an amenable number.

223013113133 is a deficient number, since it is larger than the sum of its proper divisors (1).

223013113133 is an equidigital number, since it uses as much as digits as its factorization.

223013113133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 223013113133 its reverse (331311310322), we get a palindrome (554324423455).

The spelling of 223013113133 in words is "two hundred twenty-three billion, thirteen million, one hundred thirteen thousand, one hundred thirty-three".